Enter the frequency into the calculator to determine the musical note.
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Hz To Note Formula
The following formula is used to calculate the musical note from a given frequency in Hertz (Hz).
Note = 12 * log2 (f / 440) + 49
Variables:
- Note is the calculated musical note
- f is the frequency in Hertz (Hz)
- log2 is the logarithm to base 2 440 is the standard pitch frequency for the note A4
- 49 is the MIDI number for the note A4
To calculate the musical note from a given frequency, divide the frequency by 440 (the standard pitch frequency for the note A4). Take the base 2 logarithm of the result. Multiply this by 12 (the number of semitones in an octave). Finally, add 49 (the MIDI number for the note A4) to the result. This will give you the MIDI number of the note that corresponds to the given frequency.
| Frequency (Hz) | Note (piano key #) |
|---|---|
| 27.50 | 1 |
| 32.70 | 4 |
| 55.00 | 13 |
| 65.41 | 16 |
| 82.41 | 20 |
| 98.00 | 23 |
| 110.00 | 25 |
| 130.81 | 28 |
| 146.83 | 30 |
| 164.81 | 32 |
| 196.00 | 35 |
| 220.00 | 37 |
| 246.94 | 39 |
| 261.63 | 40 |
| 293.66 | 42 |
| 329.63 | 44 |
| 349.23 | 45 |
| 392.00 | 47 |
| 440.00 | 49 |
| 523.25 | 52 |
| Equal temperament with A4 = 440 Hz. Piano key indexing: A0 = 1, A4 = 49. Formulas: n = 12 × log2(f / 440) + 49 and f = 440 × 2^((n − 49)/12). | |
What is Hz To Note?
Hz to Note is a conversion process used in music and sound engineering that translates frequency measurements (in Hertz or Hz) into musical notes. This is based on the standard pitch frequency, where the note A4 is set at 440 Hz. Each musical note corresponds to a particular frequency. For example, the note B4 corresponds to a frequency of approximately 493.88 Hz. This conversion is essential in tuning musical instruments, synthesizing sounds, and digital signal processing.
How to Calculate Hz To Note?
The following steps outline how to calculate the Hz To Note using the formula: Note = 12 * log2 (f / 440) + 49
- First, determine the frequency in Hertz (f).
- Next, substitute the value of f into the formula: Note = 12 * log2 (f / 440) + 49.
- Next, calculate the logarithm to base 2 of (f / 440).
- Next, multiply the result by 12.
- Finally, add 49 to the result to get the calculated musical note (Note).
- After inserting the value of f and calculating the result, check your answer with the calculator above.
Example Problem:
Use the following variables as an example problem to test your knowledge.
Frequency (f) = 440 Hz
Substitute the value of f into the formula:
Note = 12 * log2 (440 / 440) + 49
Calculate the logarithm to base 2 of (440 / 440):
Note = 12 * log2 (1) + 49
Calculate the logarithm to base 2 of 1:
Note = 12 * 0 + 49
Multiply the result by 12:
Note = 0 + 49
Add 49 to the result:
Note = 49
Therefore, the calculated musical note (Note) for a frequency of 440 Hz is 49.
